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660804349440 = 2935838710259
BaseRepresentation
bin10011001110110110000…
…00100010111000000000
32100011122120222001020110
421213123000202320000
541311311403140230
61223322550311320
765512230202554
oct11473300427000
92304576861213
10660804349440
11235277912264
12a809a058540
134a40cc311c1
1423da98b5864
15122c80064b0
hex99db022e00

660804349440 has 160 divisors (see below), whose sum is σ = 2112966725760. Its totient is φ = 176176308224.

The previous prime is 660804349397. The next prime is 660804349511. The reversal of 660804349440 is 44943408066.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 660804349440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64407031 + ... + 64417289.

It is an arithmetic number, because the mean of its divisors is an integer number (13206042036).

Almost surely, 2660804349440 is an apocalyptic number.

660804349440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 660804349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056483362880).

660804349440 is an abundant number, since it is smaller than the sum of its proper divisors (1452162376320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

660804349440 is a wasteful number, since it uses less digits than its factorization.

660804349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18672 (or 18656 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 660804349440 in words is "six hundred sixty billion, eight hundred four million, three hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 8387 10259 16774 20518 25161 30777 33548 41036 41935 50322 51295 61554 67096 82072 83870 100644 102590 123108 125805 134192 153885 164144 167740 201288 205180 246216 251610 268384 307770 328288 335480 402576 410360 492432 503220 536768 615540 656576 670960 805152 820720 984864 1006440 1073536 1231080 1313152 1341920 1610304 1641440 1969728 2012880 2147072 2462160 2626304 2683840 3220608 3282880 3939456 4025760 4294144 4924320 5252608 5367680 6441216 6565760 7878912 8051520 9848640 10735360 12882432 13131520 15757824 16103040 19697280 21470720 26263040 32206080 39394560 64412160 78789120 86042233 172084466 258126699 344168932 430211165 516253398 688337864 860422330 1032506796 1290633495 1376675728 1720844660 2065013592 2581266990 2753351456 3441689320 4130027184 5162533980 5506702912 6883378640 8260054368 10325067960 11013405824 13766757280 16520108736 20650135920 22026811648 27533514560 33040217472 41300271840 44053623296 55067029120 66080434944 82600543680 110134058240 132160869888 165201087360 220268116480 330402174720 660804349440